Our aim is to propose a theory which goes beyond the classical formulation of thermodynamics. This is achieved by enlarging the space of basic independent variables, through the introduction of non-equilibrium variables, such as the dissipative fluxes appearing in the balance equations. The next step is to find evolution equations for the dissipative fluxes. Whereas the evolution equations for the classical variables are given by the usual balance laws, no general criteria exist concerning the evolution equations of the dissipative fluxes, with the exception of the restrictions imposed on them by the second law of thermodynamics.

https://iopscience.iop.org/article/10.1088/0034-4885/51/8/002/pdf

Extended irreversible thermodynamics

Publisher Summary Heat and mass transfer between capillary-porous bodies and surrounding incompressible liquid accompanied by a change of phase is not only of theoretical interest but also of great practical importance for some technological processes. Heat and mass transfer inside a porous body (internal heat and mass transfer) also has its unique character. Even now the mechanism of heat and mass transfer in evaporation processes is scantily investigated, and analytical investigations do not, therefore, lead to reliable results. This chapter presents an experimental study of heat and mass transfer in evaporation processes. To elucidate peculiarities of heat transfer with simultaneous mass transfer, a dry body (pure heat transfer) and a moist body (heat transfer in the presence of mass transfer) are investigated. Such a comparison makes it possible to establish relations for interconnected heat and mass transfer processes. In order to describe quantitative relations it is necessary to have a method of analysis which makes it possible to consider the interaction of the heat and mass transfer processes. One such method is the thermodynamics of irreversible processes. The experimental data presented well confirm the mathematical theory of thermodynamics of irreversible transfer processes.

Heat and mass transfer in capillary-porous bodies

The present report is based on my PhD-thesis which was written in the course of my activity as a scientific researcher at the Fraunhofer Institute for Building Physics in Holzkirchen. It was supported with funds from the German Federal Ministry für Research as part of a joint project for the protection of heritage buildings. Scientific exchange among 14 countries during the IEA-Annex 24 project provided valuable input to this study.

Simultaneous heat and moisture transport in building components: One- and two-dimensional calculation using simple parameters

Heat transfer in porous media considering phase change and capillarity—the heat pipe effect

Porous media approaches to studying simultaneous heat and mass transfer in food processes. I: Problem formulations

http://maghaleh2012.persiangig.com/document/arsalan/qi2.pdf

A.V. Luikov

Papers

Systems of differential equations of heat and mass transfer in capillary-porous bodies (review)

Thermal conductivity of porous systems

Conjugate convective heat transfer problems

Analytical methods of solution of conjugated problems in convective heat transfer

Application of irreversible thermodynamics methods to investigation of heat and mass transfer